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442040118 = 231321512887
BaseRepresentation
bin11010010110001…
…111111100110110
31010210202222001020
4122112033330312
51401130240433
6111510242010
713645164462
oct3226177466
91123688036
10442040118
1120757a313
12104056306
1370770900
14429c94a2
1528c19cb3
hex1a58ff36

442040118 has 48 divisors (see below), whose sum is σ = 963991296. Its totient is φ = 135064800.

The previous prime is 442040117. The next prime is 442040141. The reversal of 442040118 is 811040244.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442040113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151671 + ... + 154557.

It is an arithmetic number, because the mean of its divisors is an integer number (20083152).

Almost surely, 2442040118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442040118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481995648).

442040118 is an abundant number, since it is smaller than the sum of its proper divisors (521951178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442040118 is a wasteful number, since it uses less digits than its factorization.

442040118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 442040118 is about 21024.7501293119. The cubic root of 442040118 is about 761.7642060162.

The spelling of 442040118 in words is "four hundred forty-two million, forty thousand, one hundred eighteen".

Divisors: 1 2 3 6 13 26 39 78 151 169 302 338 453 507 906 1014 1963 2887 3926 5774 5889 8661 11778 17322 25519 37531 51038 75062 76557 112593 153114 225186 435937 487903 871874 975806 1307811 1463709 2615622 2927418 5667181 11334362 17001543 34003086 73673353 147346706 221020059 442040118